Question

What are two integers that have a sum of -11 and a product of 24?

Answer 1

Answer:

two integers that have a sum of -11 and a product of 24 are (-8) and (-3).

Answer 2

Answer:

Say the two integers are x and y

Then x+y = -11

and xy = 24 => y = 24/x

So, x + 24/x = -11

=> x2+11x+24 =0

=> (x+8)(x+3) = 0

=> x = -8 or -3

If x = -8, y = 24/-8 = -3

If x= -3, y = 24/-3 = -8

Two integers are -8 and -3